I just want to make sure my answer is correct

Questions: List all even permutations of symmetry group S4

Answer: There are 12 even permutations in S4

(1234)(1342)(1423)(2143)(3124)(4132)(2431)(2314)(4 213)(3241)(3412)(4321)

Please Help

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- May 8th 2006, 09:28 PMmathlgPermutations (Want to check my answer)
I just want to make sure my answer is correct

Questions: List all even permutations of symmetry group S4

Answer: There are 12 even permutations in S4

(1234)(1342)(1423)(2143)(3124)(4132)(2431)(2314)(4 213)(3241)(3412)(4321)

Please Help - May 9th 2006, 02:09 PMThePerfectHackerQuote:

Originally Posted by**mathlg**

In this case thus,

Thus there are 12 even premutations.

For the second part, all the premutations you named are odd!

Because,

The number of transpositions here is an odd number!

Also, the premutation

Thus, there are two mistakes, first they are all odd

and not all are distinct-which basically means you did not list all the odd premutations. - May 10th 2006, 07:25 PMThePerfectHacker
A4 = {(1,2,3), (1,3,2), (1,2,4), (1,4,2), (1,3,4), (1,4,3), (2,3,4), (2,4,3), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3),e}.